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Δ h -Appell sequences and related interpolation problem

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Abstract

A determinantal form for Δ h -Appell sequences is proposed and general properties are obtained by using elementary linear algebra tools. As particular cases of Δ h -Appell sequences the sequence of Bernoulli polynomials of second kind and the one of Boole polynomials are considered. A general linear interpolation problem, which generalizes the classical interpolation problem on equidistant points, is proposed. The solution of this problem is expressed by a basis of Δ h -Appell polynomials. Numerical examples which justify theoretical results on the interpolation problem are given.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi della Calabria, Cosenza, Italy

    F. A. Costabile & E. Longo

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  1. F. A. Costabile
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  2. E. Longo
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Correspondence to F. A. Costabile.

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Costabile, F.A., Longo, E. Δ h -Appell sequences and related interpolation problem. Numer Algor 63, 165–186 (2013). https://doi.org/10.1007/s11075-012-9619-1

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  • DOI: https://doi.org/10.1007/s11075-012-9619-1

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